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1. Assume that within a given service game at tennis, successive points form Bernoulli trials with p = P(Server wins) > ½. Tennis rules say that the service game ends as soon as either player has won at least four points, and is at least two points ahead of the other. Find the chances the server wins the game 4-0, 4-1, and 4-2; find also the chance the game reaches 3-3 ("Deuce").
2. Suppose buses arrive at random, at average rate , so that the time to wait follows an Exponential distribution. Show that, conditional on you having already waited time T, without a bus, the remaining time you have to wait is independent of T.
Let Y denote the number of students on his bus. Compute the expectations and variances of X and Y:
Assume that each light bulb works independently of other light bulbs. Determine the probability that all 10 of light bulbs work?
let a b and c be independent random variables uniformly distributed over 05 03 and 04 respectively. what is the
A cereal manufacturer sells boxes of cereal that list the weight as 19 oz. A random sample of 60 boxes was taken, with the contents carefully weighed.
The lifetime of a color television picture tube is normally distributed with a mean of 7.8 years and a standard deviation of 3 years. What is the probability that a picture tube will last more than ten years?
a simple random sample of 300 properties is taken from a collection of 9500 properties 3000 of which do not have
Two semiconductor factories are being compared to see if there is a difference in the average defect rates of the chips they produce. In the first factory, 250 chips are sampled. In the second factory, 350 chips are sampled. The proportions of def..
recent information published by the u.s. environmental protection agency indicates that honda is the manufacturer of
the drug dozenol is tested on 40 male subjects recruited from new york and 40 female subjects recruited from
The data in the scatterplot below are an individual's weight and the time it takes (in seconds) on a treadmill to raise his or her pulse rate to 140 beats per minute. The o's correspond to females and the +'s to males.
List the constraint(s) that are not binding and interpret their slack/surplus variable(s). What does it mean that the right-hand side range of constraint 2 has no upper limit?
when running a non-parametric test on spss with a small sample size which test statistic will not provide the most
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